Problem 4

Ask yourself: "Can I draw a vertical line (anywhere) that will hit the graph two times ?"

Answer: NO matter where you try to draw a vertical line, it only hits the graph once so this is a function

Be careful at x =2. The point (2,1) is not filled in, indicating that the graph does not include the point (2,1). However, notice that (2,2) is completely filled in, because that point is included in the graph.

Problem 5

Does the graph below represent a function or a relation? (look carefully, this graph is slightly different from the prior problem's graph)

Ask yourself: "Can I draw a vertical line (anywhere) that will hit the graph two times ?"

Answer: YES vertical lines only hit the graph once so this is a function

Unlike problem 3, in this case, the point (2,1) is filled in and is,therefore, included in the graph.

As you can see, that one point makes all the difference. this is not a function

Problem 6

Does the graph below represent a function or a relation? (look carefully, this graph is slightly different from the prior problem's graph)

Ask yourself: "Can I draw a vertical line (anywhere) that will hit the graph two times ?"

Answer: YES This is not a function . In fact, circles, in general, are not functions

Problem 6

Does the graph below represent a function or a relation? (look carefully, this graph is slightly different from the prior problem's graph)

Ask yourself: "Can I draw a vertical line (anywhere) that will hit the graph two times ?"